What are your axioms on what’s important, if not the continued existence of the human race?

edit: I’m genuinely intrigued

I suppose the same axioms of every ape that's ever existed (and really the only axioms that exist). My personal survival, my comfort, my safety, accumulation of resources to survive the lean times (even if there are no lean times), stimulation of my personal interests, and the same for my immediate 'tribe'. Since I have a slightly more developed cerebral cortex I can abstract that 'tribe' to include more than 10 or 12 people, which judging by your post you can too. And fortunate for us, because that little abstraction let us get past smashing each other with rocks, mostly.

I think the only difference between our outlooks is I don't think there's any reason that my 'tribe' shouldn't include non-biological intelligence. Why not shift your priorities to the expansion of general intelligence?

Why should general intelligence continue to survive? You are placing a human value on continued existence.